{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","description":"This cluster of papers focuses on the development and application of physics-informed neural networks for scientific computing, particularly in the context of solving partial differential equations, model reduction, fluid dynamics, dynamic mode decomposition, and nonlinear systems. The research explores the integration of deep learning techniques with traditional numerical methods to address complex problems in physics-based modeling and simulation.","keywords":[{"id":"https://openalex.org/keywords/model-reduction","display_name":"model reduction","score":0.2296},{"id":"https://openalex.org/keywords/physics-informed-neural-networks","display_name":"physics-informed neural networks","score":0.483},{"id":"https://openalex.org/keywords/proper-orthogonal-decomposition","display_name":"proper orthogonal decomposition","score":0.4273},{"id":"https://openalex.org/keywords/dynamic-mode-decomposition","display_name":"dynamic mode decomposition","score":0.3843},{"id":"https://openalex.org/keywords/physics-informed-machine-learning","display_name":"physics-informed machine learning","score":0.2287},{"id":"https://openalex.org/keywords/neural-operators","display_name":"neural operators","score":0.705},{"id":"https://openalex.org/keywords/reduced-basis-method","display_name":"reduced basis method","score":0.802},{"id":"https://openalex.org/keywords/koopman-operator","display_name":"Koopman operator","score":0.3698},{"id":"https://openalex.org/keywords/fourier-neural-operator","display_name":"Fourier neural operator","score":0.5902},{"id":"https://openalex.org/keywords/galerkin-projection","display_name":"Galerkin projection","score":0.5073},{"id":"https://openalex.org/keywords/deeponet","display_name":"DeepONet","score":0.7177},{"id":"https://openalex.org/keywords/operator-learning","display_name":"operator learning","score":0.5846},{"id":"https://openalex.org/keywords/proper-generalized-decomposition","display_name":"proper generalized decomposition","score":0.6752},{"id":"https://openalex.org/keywords/scientific-machine-learning","display_name":"scientific machine learning","score":0.466},{"id":"https://openalex.org/keywords/flow-reconstruction","display_name":"flow reconstruction","score":0.372},{"id":"https://openalex.org/keywords/neural-odes","display_name":"neural ordinary differential equations","score":0.2239},{"id":"https://openalex.org/keywords/nonlinear-model-reduction","display_name":"nonlinear model reduction","score":0.7239},{"id":"https://openalex.org/keywords/discrete-empirical-interpolation-method","display_name":"discrete empirical interpolation method","score":0.8583},{"id":"https://openalex.org/keywords/balanced-truncation","display_name":"balanced truncation","score":0.301},{"id":"https://openalex.org/keywords/hyper-reduction","display_name":"hyper-reduction","score":0.8868},{"id":"https://openalex.org/keywords/parametric-partial-differential-equations","display_name":"parametric partial differential equations","score":0.8157},{"id":"https://openalex.org/keywords/data-driven-model-reduction","display_name":"data-driven model reduction","score":0.7872},{"id":"https://openalex.org/keywords/spectral-bias","display_name":"spectral bias","score":0.3786},{"id":"https://openalex.org/keywords/sparse-identification-of-nonlinear-dynamics","display_name":"sparse identification of nonlinear dynamics","score":0.3465},{"id":"https://openalex.org/keywords/physics-informed-neural-operators","display_name":"physics-informed neural operators","score":0.7656}],"legacy_keywords":"Deep Learning; Partial Differential Equations; Model Reduction; Fluid Dynamics; Dynamic Mode Decomposition; Nonlinear Systems; Machine Learning; Data-Driven Modeling; Numerical Computing; Inverse Problems","ids":{"openalex":"https://openalex.org/T11206","wikipedia":"https://en.wikipedia.org/wiki/Physics-informed_neural_networks"},"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques"},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization"},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons"},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems"},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories"},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation"},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics"},{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems"},{"id":"https://openalex.org/T12250","display_name":"Experimental and Theoretical Physics Studies"},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy"},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications"},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence"},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries"},{"id":"https://openalex.org/T13769","display_name":"Fusion and Plasma Physics Studies"},{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics"}],"works_count":58863,"cited_by_count":709637,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11206","updated_date":"2026-10-15T03:01:42","created_date":"2024-01-23T15:27:09"}